1. K-theory and group actions on shift dynamical systems 2. Classification of shift spaces of finite types possessing the infinite dihedral groups

• Grant number: 18/12482-3
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: October 01, 2018
• End date: September 30, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Rodrigo Bissacot Proença
• Grantee: Sieye Ryu
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 16/25053-8 - Dynamics and geometry in low dimensions, AP.TEM

Abstract

K-theory is useful to find algebraic invariants of dynamical systems. I would like to study the relationships between K-thoery and shift-flip systems of finite types. My long term goal is to classify shift-flip systems of finite types.

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

RYU, SIEYE. Flip signatures. Ergodic Theory and Dynamical Systems, v. N/A, p. 35-pg., 2022-09-26. (18/12482-3)